Electric Charges and Fields - Result Question 42

42. A charge $Q \mu C$ is placed at the centre of a cube, the flux coming out from any surface will be

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(a) $\frac{Q}{6 \varepsilon_0} \times 10^{-6}$

(b) $\frac{Q}{6 \varepsilon_0} \times 10^{-3}$

(c) $\frac{Q}{24 \varepsilon_0}$

(d) $\frac{Q}{8 \varepsilon_0}$

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Answer:

Correct Answer: 42. (a)

Solution:

  1. (a) Total flux out of all six faces as per Gauss’s theorem should be $\frac{Q \times 10^{-6}}{\epsilon_0}$

Therefore, flux coming out of each face $=\frac{Q}{6 \epsilon_0} \times 10^{-6} C$